Discrete Exterior Calculus Discretization of Incompressible Navier-Stokes Equations

Handle URI:
http://hdl.handle.net/10754/623732
Title:
Discrete Exterior Calculus Discretization of Incompressible Navier-Stokes Equations
Authors:
Mohamed, Mamdouh S.; Hirani, Anil N.; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
A conservative discretization of incompressible Navier-Stokes equations over surface simplicial meshes is developed using discrete exterior calculus (DEC). Numerical experiments for flows over surfaces reveal a second order accuracy for the developed scheme when using structured-triangular meshes, and first order accuracy otherwise. The mimetic character of many of the DEC operators provides exact conservation of both mass and vorticity, in addition to superior kinetic energy conservation. The employment of barycentric Hodge star allows the discretization to admit arbitrary simplicial meshes. The discretization scheme is presented along with various numerical test cases demonstrating its main characteristics.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Conference/Event name:
Predictive Complex Computational Fluid Dynamics Conference at KAUST
Issue Date:
23-May-2017
Type:
Poster
Appears in Collections:
Posters; KAUST Research Conference: Predictive Complex Computational Fluid Dynamics 2017

Full metadata record

DC FieldValue Language
dc.contributor.authorMohamed, Mamdouh S.en
dc.contributor.authorHirani, Anil N.en
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2017-05-29T10:29:55Z-
dc.date.available2017-05-29T10:29:55Z-
dc.date.issued2017-05-23-
dc.identifier.urihttp://hdl.handle.net/10754/623732-
dc.description.abstractA conservative discretization of incompressible Navier-Stokes equations over surface simplicial meshes is developed using discrete exterior calculus (DEC). Numerical experiments for flows over surfaces reveal a second order accuracy for the developed scheme when using structured-triangular meshes, and first order accuracy otherwise. The mimetic character of many of the DEC operators provides exact conservation of both mass and vorticity, in addition to superior kinetic energy conservation. The employment of barycentric Hodge star allows the discretization to admit arbitrary simplicial meshes. The discretization scheme is presented along with various numerical test cases demonstrating its main characteristics.en
dc.titleDiscrete Exterior Calculus Discretization of Incompressible Navier-Stokes Equationsen
dc.typePosteren
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.conference.dateMay 22-24, 2017en
dc.conference.namePredictive Complex Computational Fluid Dynamics Conference at KAUSTen
dc.conference.locationKAUSTen
dc.contributor.institutionUniversity of Illinoisen
kaust.authorMohamed, Mamdouh S.en
kaust.authorSamtaney, Ravien
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